Results 51 to 60 of about 11,114,666 (310)
AIMS Mathematics, 2023 In this paper, the authors define the notion of harmonic-arithmetic extended $ (s_1, m_1) $-$ (s_2, m_2) $ coordinated convex functions, establish a new integral identity, present some new Hermite–Hadamard type integral inequalities for harmonic ...
Chun-Ying He, Aying Wan, Bai-Ni Guo
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Higher moments of arithmetic functions in short intervals: a geometric perspective [PDF]
, 2016 We study the geometry associated to the distribution of certain arithmetic functions, including the von Mangoldt function and the M\"obius function, in short intervals of polynomials over a finite field $\mathbb{F}_q$.
D. Hast, Vlad Matei
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Arithmetic functions associated with infinitary divisors of an integer
International Journal of Mathematics and Mathematical Sciences, 1993 The infinitary divisors of a natural number n are the products of its divisors of the form pyα2α, where py is a prime-power component of n and ∑αyα2α (where yα=0 or 1) is the binary representation of y.
Graeme L. Cohen, Peter Hagis
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On certain arithmetic functions involving the greatest common divisor
Open Mathematics, 2012 Krätzel Ekkehard +2 more
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Applications of differential algebra to algebraic independence of arithmetic functions [PDF]
, 2015 We generalize and unify the proofs of several results on algebraic in- dependence of arithmetic functions and Dirichlet series by a theorem of Ax on differential Schanuel conjecture.
W. Pong
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Quasi-arithmetic means and OWA functions in interval-valued and Atanassov's intuitionistic fuzzy set theory [PDF]
, 2011 In this paper we propose an extension of the well-known OWA functions introduced by Yager to interval-valued (IVFS) and Atanassov’s intuitionistic (AIFS) fuzzy set theory.
Deschrijver, Glad
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Krein-space operators determined by free product algebras induced by primes and graphs
Special Matrices, 2017 In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number ...
Cho Ilwoo, Jorgensen Palle E. T.
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 Let π(x) be the number of primes not exceeding x. We prove that π(x)
Bănescu Magdalena
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A note on the approximation of divisor functions [PDF]
Notes on Number Theory and Discrete MathematicsWe offer an arithmetic proof of a result from the recent paper [1]. A more general result is provided, too.
József Sándor
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Privacy-Preserving Machine Learning With Fully Homomorphic Encryption for Deep Neural Network
IEEE Access, 2022 Fully homomorphic encryption (FHE) is a prospective tool for privacy-preserving machine learning (PPML). Several PPML models have been proposed based on various FHE schemes and approaches.
Joon-Woo Lee +10 more
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